Cost-time Minimization in a Transportation Problem with Fuzzy Parameters: A Case Study

In real world applications the supply, the demand and the transportation cost per unit of the quantities in a transportation problem are hardly specified precisely because of the changing economic and environmental conditions. It is also important that the time required for transportation should be minimum. In this paper a method has been proposed for the minimization of transportation cost as well as time of transportation when the demand, supply and transportation cost per unit of the quantities are fuzzy. The problem is modeled as multi objective linear programming problem with imprecise parameters. Fuzzy parametric programming has been used to handle impreciseness and the resulting multi objective problem has been solved by prioritized goal programming approach. A case study has been made using the proposed approach.

摘 要在实际应用中，经济和环境等因素的变化使得运输问题中的供给、需求以及单位运输成本难以确切地衡量。同时，运输时间的最小化也较为重要。本文提出了一种在运输供给、需求和单位运输成本为模糊量的情况下，最小化运输时间和成本的方法。用具有非精确参数的多目标线性规划对此类问题建模。针对不精确性，应用了模糊参数规划，并用全局规划求解此多目标问题。最后，应用实例证明算法的有效性。